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Finding the Fourth Proportional to 3,847.35, 5,772.12 and 3,186.09

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Solution

The fourth proportional to 3,847.35, 5,772.12 and 3,186.09 is: 4,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.35 : 5,772.12 = 3,186.09 : x
  2. Step 2: Convert to fraction form
    3,847.35/5,772.12 = 3,186.09/x
  3. Step 3: Cross multiply
    3,847.35x = 5,772.12 × 3,186.09
  4. Step 4: Simplify right side
    3,847.35x = 18,390,493.81
  5. Step 5: Solve for x
    x = 18,390,493.81/3,847.35
  6. Step 6: Final answer
    x = 4,780.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.